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Allushta [10]
3 years ago
9

When 8 is added to 3times a certain number, the result is the same as adding 12 to twice the number. find the number​

Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

The number is 4

Step-by-step explanation:

<u>Choose a variable for the number.</u>

let the number be "x"

<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).

"When 8 is added to"               8 +  

"3 times a certain number"       3x

"the result is the same as"         =

"adding 12 to"                            12 +

"twice the number"                   2x

Put the equation back together with each of the parts.

8 + 3x = 12 + 2x

<u>Now isolate "x"</u> to the left side to find the number.

8 + 3x - 2x = 12 + 2x - 2x       Subtract 2x from both sides

8 + x = 12                           "x" is only on the left side

8 - 8 + x = 12 - 8                Subtract 8 from both sides

x = 4                             Solved for the number

Therefore the number is 4.

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